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Finding the Fourth Proportional to 465,402.10, 642,184.92 and 261,413.94

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Solution

The fourth proportional to 465,402.10, 642,184.92 and 261,413.94 is: 360,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,402.10 : 642,184.92 = 261,413.94 : x
  2. Step 2: Convert to fraction form
    465,402.10/642,184.92 = 261,413.94/x
  3. Step 3: Cross multiply
    465,402.10x = 642,184.92 × 261,413.94
  4. Step 4: Simplify right side
    465,402.10x = 167,876,090,145.79
  5. Step 5: Solve for x
    x = 167,876,090,145.79/465,402.10
  6. Step 6: Final answer
    x = 360,711.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.